Use the table to answer the question.

Question

Number of Months Cost ($)
1 74
2 99
3 124
4 149
The table below shows the cost for a gym membership at the local fitness center with an initial start-up fee charged in the first month. Find the slope, or monthly cost.

(1 point)
Responses

$37.25
$37.25

$74
$74

$49
$49

$25
$25
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Answer 1

To find the slope, or the monthly cost, we need to look at the change in cost per month.

Here's the breakdown from the table:

• From Month 1 to Month 2: The cost increases from $74 to $99.
  • Change: $99 - $74 = $25 for 1 month
• From Month 2 to Month 3: The cost increases from $99 to $124.
  • Change: $124 - $99 = $25 for 1 month
• From Month 3 to Month 4: The cost increases from $124 to $149.
  • Change: $149 - $124 = $25 for 1 month

The monthly cost (slope) is consistent across all months, which is $25.

Therefore, the monthly cost (slope) is $25.